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Finding the Fourth Proportional to 5,597.66, 8,396.50 and 2,309.88

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Solution

The fourth proportional to 5,597.66, 8,396.50 and 2,309.88 is: 3,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.66 : 8,396.50 = 2,309.88 : x
  2. Step 2: Convert to fraction form
    5,597.66/8,396.50 = 2,309.88/x
  3. Step 3: Cross multiply
    5,597.66x = 8,396.50 × 2,309.88
  4. Step 4: Simplify right side
    5,597.66x = 19,394,907.42
  5. Step 5: Solve for x
    x = 19,394,907.42/5,597.66
  6. Step 6: Final answer
    x = 3,464.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.